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Lisa is 53 3 4 inches tall. Joey is 1 1 2 inches shorter than Lisa and Jane is 1 1 5 inches shorter than Joey. How tall is Jane?

1 Answer

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Answer: Jane's height =
51(1)/(20)\text{ inches}

Explanation:

Given: Lisa's height =
53\frac34\text{ inches}=(4*53+3)/(4)\text{ inches}


=(215)/(4)\text{ inches}

Joey's height =
\frac{215}4-1\frac12 inches


=\frac{215}4-\frac32\\\\=(215-6)/(4)\\\\=(209)/(4)\text{ inches}

Jane's height =
(209)/(4)-1\frac15 inches


=(209)/(4)-(6)/(5)\\\\=(209*5-6*4)/(20)\\\\=(1045-24)/(20)\\\\=(1021)/(20)\\\\=51(1)/(20)\text{ inches}

Hence, Jane's height =
51(1)/(20)\text{ inches}

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